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Finding the Third Proportional to 225,927 and 489,050

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Solution

The third proportional to 225,927 and 489,050 is: 1,058,615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,927 : 489,050 = 489,050 : x
  2. Step 2: Convert to fraction form
    225,927/489,050 = 489,050/x
  3. Step 3: Cross multiply
    225,927x = 489,050 × 489,050
  4. Step 4: Simplify right side
    225,927x = 239,169,902,500
  5. Step 5: Solve for x
    x = 239,169,902,500/225,927
  6. Step 6: Final answer
    x = 1,058,615.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.